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Finding the Third Proportional to 14,034 and 27,678

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Solution

The third proportional to 14,034 and 27,678 is: 54,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034 : 27,678 = 27,678 : x
  2. Step 2: Convert to fraction form
    14,034/27,678 = 27,678/x
  3. Step 3: Cross multiply
    14,034x = 27,678 × 27,678
  4. Step 4: Simplify right side
    14,034x = 766,071,684
  5. Step 5: Solve for x
    x = 766,071,684/14,034
  6. Step 6: Final answer
    x = 54,586.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.